The Visual Proof of the Area of a Circle

In geometry, the area enclosed by a circle of radius r is πr2. Here the Greek letter π represents a constant, approximately equal to 3.14159, which is equal to the ratio of the circumference of any circle to its diameter.


Step 1

The visual proof of the area of a circle
Make a circle.

Step 2

visual proof circle
Find the radius.

Step 3

visual proof circle 2
Turn into a triangle.

Step 4:

visual proof 3
Draw your triangle.

Step 5:

visual proof 4
Find the height of your triangle and apply the formula!

Ali Kaya


Ali Kaya

This is Ali. Bespectacled and mustachioed father, math blogger, and soccer player. I also do consult for global math and science startups.

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